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Realizing algebraic 2-complexes by cell complexes

Published 24 Aug 2023 in math.AT | (2310.07722v1)

Abstract: The realization theorem asserts that for a finitely presented group G, the D(2) property and the realization property are equivalent as long as G satisfies a certain finiteness condition. We show that the two properties are in fact equivalent for all finitely presented groups.

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